Phenomenology of Conduction in Incoherent Layered Crystals
AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH PROPULSION DIRECTORATE
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A phenomenological approach to the analysis of the conductivities of incoherent layered crystals is presented. It is based on the fundamental relationship between the resistive anisotropy sigmaabsigmac and the ratio of the phase coherence lengths in the respective directions. We explore the model-independent consequences of a general assumption that the out-of-plane phase coherence length of single electrons is a short fixed distance of the order of interlayer spacing. Several topics are discussed application of the scaling theory, magnetoresistivity, the effects of substitutions, and the intermediate regime of conduction when both coherence lengths change with temperature, but at a different rate.
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